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Tree amplitudes and two-loop counterterms in D = 11 supergravity

Deser, S. and Seminara, D. (2000) Tree amplitudes and two-loop counterterms in D = 11 supergravity. Physical Review D, 62 (8). Art. No. 084010. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:20170127-153235533

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Abstract

We compute the tree level 4-particle bosonic scattering amplitudes in D = 11 supergravity. By construction, they are part of a linearized supersymmetry, coordinate, and 3-form gauge invariant. While this on-shell invariant is nonlocal, suitable SUSY-preserving differentiations turn it into a local one with correct dimension to provide a natural lowest (two-loop) order counterterm candidate. Its existence shows explicitly that no symmetries protect this ultimate supergravity: Indeed this invariant, together with the recently calculated infinite coefficient of its 4-graviton part, constitutes a demonstration of two-loop non-renormalizability.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevD.62.084010DOIArticle
http://journals.aps.org/prd/abstract/10.1103/PhysRevD.62.084010PublisherArticle
https://arxiv.org/abs/hep-th/0002241arXivDiscussion Paper
ORCID:
AuthorORCID
Deser, S.0000-0001-9285-9434
Additional Information:© 2000 American Physical Society. (Received 28 February 2000; published 21 September 2000) We are grateful to many colleagues, especially to Z. Bern, L. Dixon, and D. Dunbar, for discussions of their work and ours, as well as to A. Waldron, who also introduced us to the world of FORM and to J. Franklin and S. Fulling for help with algebraic aspects of BR-ology. This work was supported by the National Science Foundation under grant PHY99-73935. D.S. was supported by CEE contract FMRX-CT-96-0045. Laboratoire de Physique Théorique is Unité Mixte UMR 8549 au Center de la Recherche Scientifique et á l’École Normale Supérieure.
Funders:
Funding AgencyGrant Number
NSFPHY99-73935
CEEFMRX-CT-96-0045
Issue or Number:8
Classification Code:PACS number(s): 04.65.+e, 11.10.Gh
Record Number:CaltechAUTHORS:20170127-153235533
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170127-153235533
Official Citation:Tree amplitudes and two-loop counterterms in D = 11 supergravity S. Deser and D. Seminara Phys. Rev. D 62, 084010
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73794
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:27 Jan 2017 23:42
Last Modified:03 Oct 2019 16:31

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